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максимус67
@максимус67
August 2022
1
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Вычислите сумму используя приём Гаусса. А) 1+2+3+...+50. Б)11+12+13+...60. В)1+3+5+...+99. Г)3+6+9+...+90
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Answers & Comments
Liphan
1)
1+2+3+..+50 =
(1+50) + (2+49) + ... + (25+26) = 25 * 51 = 1275
2)
11+12+...+60 =
(11+60) + (12+59) + ... + (35+36) = 71 * 25 = 1775
3)
1+3+5+...+99 =
(1+99) + (3+97) + ... + (49+51) = 100 * 25 = 2500
4 votes
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Answers & Comments
1+2+3+..+50 =
(1+50) + (2+49) + ... + (25+26) = 25 * 51 = 1275
2)
11+12+...+60 =
(11+60) + (12+59) + ... + (35+36) = 71 * 25 = 1775
3)
1+3+5+...+99 =
(1+99) + (3+97) + ... + (49+51) = 100 * 25 = 2500